Denjoy-Carleman solvability of Vekua-type periodic operators
Analysis of PDEs
2026-04-13 v1
Abstract
This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient conditions for achieving these global properties in the case of constant-coefficient operators, along with applications to classical operators. Additionally, we investigate a class of variable coefficients and establish conditions for its solvability.
Keywords
Cite
@article{arxiv.2406.13110,
title = {Denjoy-Carleman solvability of Vekua-type periodic operators},
author = {Alexandre Kirilov and Wagner Augusto Almeida de Moraes and Pedro Meyer Tokoro},
journal= {arXiv preprint arXiv:2406.13110},
year = {2026}
}
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28 pages